It's possible you can't find it because the AppData folder is hidden. To get there, hit the Windows + R to open a Run box. Type in '%appdata%' and hit Enter to go to the folder. Try to navigate to the location of the Doublefine folder.

Hi JustShy. This is a strange issue that we can't quite nail down. If you delete a profile folder (such as Profile 3), begin a new game with profile 3, and play through in profile 3, can you successfully load save files and continue after you restart the game?